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Finding the Fourth Proportional to 228.82, 313.68 and 224.68

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Solution

The fourth proportional to 228.82, 313.68 and 224.68 is: 308.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.82 : 313.68 = 224.68 : x
  2. Step 2: Convert to fraction form
    228.82/313.68 = 224.68/x
  3. Step 3: Cross multiply
    228.82x = 313.68 × 224.68
  4. Step 4: Simplify right side
    228.82x = 70,477.62
  5. Step 5: Solve for x
    x = 70,477.62/228.82
  6. Step 6: Final answer
    x = 308.00

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.